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dc.contributor.authorLiu, Zihui
dc.contributor.authorWu, Xin-Wen
dc.contributor.authorLuo, Yuan
dc.contributor.authorChen, Wende
dc.date.accessioned2017-05-03T15:50:37Z
dc.date.available2017-05-03T15:50:37Z
dc.date.issued2011
dc.date.modified2011-09-27T06:58:08Z
dc.identifier.issn0020-0255
dc.identifier.doi10.1016/j.ins.2011.04.021
dc.identifier.urihttp://hdl.handle.net/10072/40950
dc.description.abstractCode equivalence is a basic concept in coding theory. The well-known theorem by MacWilliams gives a sufficient condition for code equivalence. Recently the MacWilliams theorem has been generalized, by Fan, Liu and Puig, making use of the generalized Hamming weights (GHWs). In this paper, we will present a further generalization of the MacWilliams theorem. Our result extends both the MacWilliams theorem and the result by Fan, Liu and Puig. We will first define ''relative subcodes'' of a linear code, based on the relative generalized Hamming weights (RGHWs) which is a generalization of the GHWs; and then establish a method based on finite projective geometry to characterize relative subcodes. Using this method, we will prove our main result.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent123601 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherElsevier
dc.publisher.placeNetherlands
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom4309
dc.relation.ispartofpageto4317
dc.relation.ispartofissue19
dc.relation.ispartofjournalInformation Sciences
dc.relation.ispartofvolume181
dc.rights.retentionY
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchInformation and computing sciences
dc.subject.fieldofresearchCoding, information theory and compression
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode46
dc.subject.fieldofresearchcode461301
dc.subject.fieldofresearchcode40
dc.titleNew code equivalence based on relative generalized Hamming weights
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2011 Elsevier. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2011
gro.hasfulltextFull Text
gro.griffith.authorWu, Xin-Wen


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